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Finding the Third Proportional to 359,184 and 549,708

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Solution

The third proportional to 359,184 and 549,708 is: 841,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,184 : 549,708 = 549,708 : x
  2. Step 2: Convert to fraction form
    359,184/549,708 = 549,708/x
  3. Step 3: Cross multiply
    359,184x = 549,708 × 549,708
  4. Step 4: Simplify right side
    359,184x = 302,178,885,264
  5. Step 5: Solve for x
    x = 302,178,885,264/359,184
  6. Step 6: Final answer
    x = 841,292.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.